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101210112020 = 22583419145513
BaseRepresentation
bin101111001000010010…
…1111100000000010100
3100200020111200101212102
41132100211330000110
53124234242041040
6114254551541232
710212036520613
oct1362045740024
9320214611772
10101210112020
1139a17519186
121774708a818
13970c434764
144c81a6387a
1529755c1515
hex179097c014

101210112020 has 48 divisors (see below), whose sum is σ = 215616824640. Its totient is φ = 39900554496.

The previous prime is 101210111957. The next prime is 101210112023. The reversal of 101210112020 is 20211012101.

It is a super-3 number, since 3×1012101120203 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101210111992 and 101210112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210112023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622784 + ... + 768296.

It is an arithmetic number, because the mean of its divisors is an integer number (4492017180).

Almost surely, 2101210112020 is an apocalyptic number.

101210112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210112020 is an abundant number, since it is smaller than the sum of its proper divisors (114406712620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101210112020 is a wasteful number, since it uses less digits than its factorization.

101210112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146024 (or 146022 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101210112020 its reverse (20211012101), we get a palindrome (121421124121).

The spelling of 101210112020 in words is "one hundred one billion, two hundred ten million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 83 166 332 415 419 830 838 1660 1676 2095 4190 8380 34777 69554 139108 145513 173885 291026 347770 582052 695540 727565 1455130 2910260 12077579 24155158 48310316 60387895 60969947 120775790 121939894 241551580 243879788 304849735 609699470 1219398940 5060505601 10121011202 20242022404 25302528005 50605056010 101210112020